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Using a preconditioner like Algebraic Multigrid can be costly in terms of memory due to the need to store matrix information at the various levels.
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The matrix information was adopted from [ 44].
The propagation process of the Fisher information in dynamical system is clarified, and the Fisher information matrix (FIM) at the final time contains the whole information accumulated from the measurements.
If matrix factorization is performed, the contextual information at node (R_{22}) can not be taken advantage.
Here, (J widehat Theta)) is the total observed information matrix evaluated at (widehat {Theta }).
where is Fisher's information matrix evaluated at the correct parameter values.
The asymptotic behavior is still valid if I is replaced by the observed information matrix evaluated at θ ̂, that is J.
For Gaussian noise with covariance matrix C = σ 2 I, the asymptotic covariance matrix of the estimates is given by the inverse of the Fisher information matrix evaluated at the true parameters [14].
As usual, we can substitute I by J θ ̂, that is, the observed information matrix evaluated at θ ̂ and then, the distribution N p 1 + p 2 + 3 0, J - 1 can be used to construct approximate confidence intervals for the parameters.
In this framework, approximating the model by a linear model (and the posterior distribution by a normal distribution) leads to the well-known A-optimal [ 30, 31] or D-optimal [ 32- 36] experimental designs, which optimize a property of the Fisher information matrix (FIM) at the maximum likelihood estimator.
The only information at the receiver is the signature matrix.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com